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The early passion which Indian civilization had for high numbers was a significant factor contributing to the discovery of the place-value system, and not only offered the Indians the incentive to go beyond the "calculable" physical world, but also led to an understanding (much earlier than in our civilization) of the notion of mathematical infinity itself.Sanskrit notation had an excellent conceptual quality.The Jesuits were equipped with the knowledge of local languages as well as mathematics and astronomy that were required to understand these Indian needed these texts to understand the local customs and how the dates of traditional festivals were fixed by Indians using the local calendar (panchnga).How the mathematics given in these Indian ancient texts subsequently diffused into The English-speaking world has known for over one and a half centuries that Taylor series expansions for sine, cosine and arctangent functions were found in Indian mathematics / astronomy / timekeeping (jyotisa) texts, and specifically in the works of Madhava, Neelkantha, Jyeshtadeva, etc.It took them about 300 years to fully comprehend its working. Jesuit records show that they sought out these texts as inputs to the Gregorian calendar reform.This reform was needed to solve the latitude problem of European navigation.And finally an important point for those who maintain that the concept of zero was also evident in some other civilisations: "Did you know that Vedic priests were using the so-called Pythagorean theorem to construct their fire altars in 800 BCE?
Sanskrit has for centuries lent itself admirably to the diverse rules of prosody and versification.
Knowledge of the Hindu system spread through the Arab world, reaching the Arabs of the West in Spain before the end of the tenth century.
The earliest European manuscript, which came from the Hindu numerals were modified in north-Spain from the year 976.
We owe the discovery of modern numeration and the elaboration of the very foundations of written calculations to India alone."It is clear how much we owe to this brilliant civilization, and not only in the field of arithmetic; by opening the way to the generalization of the concept of the number, the Indian scholars enabled the rapid development of mathematics and exact sciences.
The discoveries of these men doubtless required much time and imagination, and above all a great ability for abstract fact, the latter is so deeply ingrained in Indian thought and tradition that one meets it in all fields of study, from the most advanced mathematical ideas to disciplines completely unrelated to 'exact sciences.